Abstract
In the present work, a neotype chaotic product trigonometric map (PTM) system is proposed. We demonstrate the chaotic characteristics of a PTM system by using a series of complexity criteria, such as bifurcation diagrams, Lyapunov exponents, approximate entropy, permutation entropy, time-series diagrams, cobweb graphs, and NIST tests. It is proved that the PTM system has a wider chaotic parameter interval and more complex chaotic performance than the existing sine map system. In addition, a novel PTM based symmetric image encryption scheme is proposed, in which the key is related to the hash value of the image. The algorithm realizes the encryption strategy of one-graph-one-key, which can resist plaintext attack. A two-dimensional coordinate traversal matrix for image scrambling and a one-dimensional integer traversal sequence for image pixel value transformation encryption are generated by the pseudo-random integer generator (PRING). Security analysis and various simulation test results show that the proposed image encryption scheme has good cryptographic performance and high time efficiency.
Highlights
Chaos is a common objective phenomenon in nature
A novel symmetric image encryption scheme based on the novel product trigonometric chaotic system is proposed
This paper proposes a new pseudo-random bit generator (PRBG) based on the product trigonometric map (PTM) system
Summary
Chaos is a common objective phenomenon in nature. It is an important research branch of nonlinear science. Liu et al [14] proposed a high-speed and safe image encryption scheme based on a new simple one-dimensional (1D) chaotic map. Nepomuceno et al [21] proposed a new image encryption algorithm based on the pseudo-orbits of a 1D chaotic map. To expand the key space, Huang et al [23] proposed an efficient symmetric image encryption by using a new 2D chaotic map. An image encryption research method based on product triangular chaotic mapping system is proposed in this paper. In order to improve the security and time efficiency of the encryption system, the proposed scheme uses equivalent encryption key associated with images, which can effectively resist chosenplaintext attacks [27,28]. A novel symmetric image encryption scheme based on the novel product trigonometric chaotic system is proposed.
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